/*
 * diehard_operm5 test header.
 */

/*
 * function prototype
 */
int diehard_operm5(Test **test, int irun);

static Dtest diehard_operm5_dtest = {
  "Diehard OPERM5 Test",
  "diehard_operm5",
"\n\
#==================================================================\n\
#          Diehard Overlapping 5-Permutations Test.\n\
# This is the OPERM5 test.  It looks at a sequence of one mill- \n\
# ion 32-bit random integers.  Each set of five consecutive     \n\
# integers can be in one of 120 states, for the 5! possible or- \n\
# derings of five numbers.  Thus the 5th, 6th, 7th,...numbers   \n\
# each provide a state. As many thousands of state transitions  \n\
# are observed,  cumulative counts are made of the number of    \n\
# occurences of each state.  Then the quadratic form in the     \n\
# weak inverse of the 120x120 covariance matrix yields a test   \n\
# equivalent to the likelihood ratio test that the 120 cell     \n\
# counts came from the specified (asymptotically) normal dis-   \n\
# tribution with the specified 120x120 covariance matrix (with  \n\
# rank 99).  This version uses 1,000,000 integers, twice.       \n\
#\n\
# Note that Dieharder runs the test 100 times, not twice, by\n\
# default.\n\
#==================================================================\n",
  100,
  1000000,
  1,
  (int (*)())diehard_operm5,
  0
};

  
  static long double pseudoInv[120][120] = 
 {
{
    101.702796460,    3.47959864133,    2.04238410188,    1.74181938409,    3.01521299803,    2.28539648409,
    2.27752614391,    12.5879849047,    1.39654183047,    1.61928012390,    4.24056105166,    1.90846053913,
    3.58974770676,    2.43658406577,    2.17703943527,   0.788072126217,    1.44529123062,    1.01893534483,
   -11.7602653513,    2.16993674850,    2.01281383095,    1.70972351290,   -12.5737071842,   -13.8647322686,
    2.22704751677,    1.93731693654,   -8.41395982155,    1.78089271632,    1.72684525309,    3.81509686603,
  -0.610894684855,    7.79473120283,    8.12910672884,    7.96997978451,  -0.195801329414,   0.752358397718,
   0.859606531259,   -2.08846228834,    2.15730956894,    2.86356084676,  -0.548063667065,    1.95882504879,
   -1.16278277850,  -0.208344798672,    1.08285467559,   0.663691969363,   -1.07761585802,    1.30130103982,
    1.63743331504,   0.835336974273,    1.26843494328,   -5.44848887444,   -1.21391220419,   -1.55906670230,
   -2.88743618262,   0.590633792225,   -2.05424388182,    1.68554765668,    2.02872233283,    1.62075751509,
   0.317009408644,  0.0967280348665,    1.32144544549,    1.39656074305,    1.02605720546,    1.88772939286,
  -0.324682637397,   -2.13068687021,   -2.90550450174,    1.25294322978,   0.100981600673,    1.16047660536,
    2.44549621665, -0.0846387143669,   -1.39501835562,   -3.34650475961,   0.283448392274,   -3.02612919136,
   -3.80493410954,   -1.38665779695,   0.121673303444,   0.171732966065,   -2.34887107486,   0.247177449112,
    1.56010340800,   -1.48444614454,    5.44933609520,    8.87802925086,    1.81852923469,    10.1470993263,
  -0.358971552026,   -1.83014139735,   -1.74931105086,  -0.817545630271,    1.02558937862,    8.60717933673,
   -35.4362488569,   -5.36799149000,   -6.65812491595,   -4.26269341359,   -4.19712666694,   -4.77986206737,
   -4.43349551400,   -6.05454160848,   -4.14858224039,   -3.25072542614,   -2.66162830552,   -1.00718051189,
   -2.05132354587,   -1.90101638341,   -5.10130764631,   -1.41314885590,  -0.983369342872,   -1.43661669760,
   -17.4134339546,   -3.96687513396,   -4.09070881500,   -2.90571696531,   -15.7714696397,   -29.6934146419,
},
{
    3.47959864133,    98.3558345997,    1.91572793238,    2.03244291996,    3.27367538387,    3.51750054562,
    10.8670443194,    1.63728269312,    2.46532995184,    2.18522773610,   0.283315126158,    3.32191661492,
    2.11540301866,    1.71359022390,    1.76170682652,    3.87026004778,    4.81301106985,    3.99144669601,
    2.38263262964,   -10.8343835093,   -12.3582958452,   -12.7603680586,   0.908235754809,    1.40680050611,
    3.51283765151,    3.72182254444,    2.82412258514,   -8.39291090002,    5.51065378265,    2.43697755210,
    8.66481634482,  0.0698359663295,   0.840501237418, -0.0789435747566,    7.73624059467,    7.33279444374,
   -1.39535571638,   0.573983294049,   0.110396462681,  -0.491483243017,   0.723831726613,    1.68554765668,
   0.405950073013,   0.827827410776,    1.55270079570,    1.06176307263, -0.0823657666345,   0.613440673968,
   -1.48564295720,   -2.35072651678,   -5.88796619628,   0.116066517666,   0.909198892731,   0.301302209952,
    2.59871803433,   0.112462804622,    2.91664946903,    2.18345616634,   0.243514488529,   0.918782591640,
   -1.79665727600,   -2.29004601420, -0.0762330275188,    1.81968452702,   -2.37331479701,   0.545331558958,
  -0.377040242349,   -1.28003934163,    1.38687323822,    1.40809620370,   0.110396186431,    2.91434752106,
   -1.34997010910,    1.94203511105, -0.0334858524931,  -0.244222984889,   -4.05226447797,   -2.57697065912,
   0.842927830720,   0.448765444898,    2.74121610464,    2.55767805912,   0.516993015810,    2.16874029149,
    4.38149458079,    5.17250072782,   -2.90550450174,   -2.54840826787,    4.44558063180,   -3.45130216438,
   -2.40015513230, -0.0622295296345,   0.926481665246,    1.88241502240,    8.38996332437,   -4.99338303655,
   -2.88446862464,   -36.1948023840,   -5.29037912148,   -6.65812491595,   -4.56409239301,   -4.22796727586,
   -5.02467448805,   -4.48983028873,   -2.15868159775,   -2.11393300786,   -3.86961435551,   -3.27561900621,
   -1.92029423174,   -1.71528642262,   -4.33004449477,   -5.60682842900,   -2.22568304570,   -4.22556084587,
   -1.75773570496,   -18.3976865898,   -17.3220171221,   -16.7877815213,   -12.7359922823,   -4.69893147886,
},
{
    2.04238410188,    1.91572793238,    98.0501238084,    1.54283271895,    1.32988350128,    1.89214896281,
    1.83617274451,   -11.3771881230,   -10.4179101369,   -11.1977046007,    12.0368225525,    3.95863320677,
    2.00594589649,    2.85356476469,    2.75496955568,    2.44544825138,    3.51366877414,    4.39505757541,
   0.592951516896,    3.22581106136,    2.93931202527,    2.37667671700,   0.854745298683,   0.866154454190,
    7.42132958226,    7.85572434880,    6.91329582535,    5.24659988964,    7.68438220043,   -5.55402788282,
   0.839919235494,    2.38836929911,    2.05840148048,    2.13971609673,   -1.32849163946,   -1.13547734156,
   0.314755923607,    8.91907078347,    6.32770429109,    7.13294881956,   0.795755172129,    1.25294322978,
    4.75341046185,    4.62640633331,    3.11848761998,    3.20833846878,    3.72152299620,    2.87816600487,
    1.41674265601,  -0.940801877032,  0.0209809415685,    1.34264207773,   0.831206512909,    1.23620042522,
    2.90077588087,    1.57307864629,    1.51640273628,    1.40809620370,   0.503138444413,  0.0555678467829,
   -2.98199746189,   -2.67167545957,   -2.19163227797,   -2.75719522516,   -3.77733627693,   -2.09613711355,
  -0.877376856169,   0.401277785420,    2.91664946903,    2.66041333492,  -0.644118167803,   0.722311796191,
    4.42099749479,   -1.83309503743,   -1.16880599602,   -1.19922432959,    6.33445073191,    6.73360604526,
   0.248275334921, -0.0946103506733,   -3.11650166621,   -2.30497741046,  -0.818593816318,   -2.56428697012,
   -2.70812576928,   -2.15700853736,   -2.05424388182,   -3.64547457306,   -3.61315415637,   -4.26389011473,
    5.38238026713,   -4.06087251037,   -2.42109281648,   -2.87516480264,   -4.86937681595,   -7.36658175599,
   -2.23364079297,   -4.99880484738,   -36.1948023840,   -5.36799149000,   -2.85350911338,   -2.36940709009,
   -1.25286666352,   -17.0216252500,   -18.0874436684,   -17.9660620096,   -4.80044307096,   -3.91494167754,
   -2.07073322809,   -1.88530104907,   -3.04232718639,   -3.61884557138,   -3.06686059009,   -6.04286677972,
   -14.0912440427,   -5.53141230965,   -3.63980243567,   -4.14106321047,   -3.04768959184,   -5.32764231058,
},
{
    1.74181938409,    2.03244291996,    1.54283271895,    96.4300399384,    1.53038477142,    2.61336859710,
   -12.9037604338,    1.88099997551,    3.11372650764,    2.55730386708,   -12.4658563158,   0.514937591235,
    1.54681324423,    2.94636891811,    3.66237190690,    5.44273872863,    6.16196222431,    5.34531479332,
    2.87699128121,   0.466615290388,    1.02899668126,    1.03203693157,    2.30547304932,    2.52173697735,
    4.32886732400,    5.39916098902,    4.26729074902,    8.42273496448, -0.0679883047309,    8.35094501318,
    3.60249764016,  -0.329815234990,  -0.374619659663,  0.0509280864459,    2.51277142788,   0.692207431452,
    13.6325647973,    6.44221687032,    2.94831173152,   0.934777145256,    13.1815685886,    8.87802925086,
    2.38840824158,    1.99892364104,  -0.288593708110,-0.00969180416599,    2.24103669192,  -0.299951186682,
  -0.794133342961,    2.06849456445,    1.39551041680,    4.83644746149,    2.92211067478,    3.69530622097,
    3.17949645052,  -0.338532291702,   0.795755172129,   -2.54840826787,  0.0824510449375,  -0.222808488642,
   -1.99850697532,   -1.37002058804,   -1.67990502431,   -2.90899564007,   -1.43305365901,   -3.16798642674,
    2.26535029574,    3.19550859524,   0.723831726613,   -3.64547457306,   -1.82528689767,   -3.52437410739,
   -2.52050917818,    3.05921950333,    5.80288007867,    7.29488051492,   -1.30327712967,   0.228970207248,
   0.111484934528,  -0.838740155361,   -3.39699380325,   -4.48756391546,  -0.503684885921,   -3.31540906326,
   -2.36678986350,  -0.546162441077,  -0.548063667065,   -3.12036899949,   -4.09790992519,   -3.76674627657,
   -3.60435018208,    3.95300330661,   -5.59032944961,   -6.87236432478,   -6.40393467745,   -4.23299685560,
   -3.95123677566,   -2.23364079297,   -2.88446862464,   -35.4362488569,   -4.37094940786,   -3.44918321285,
   -15.5611255551,   -2.12754545184,   -3.04136462819,   -4.11294492957,   -17.8481897204,   -21.4030642441,
   -4.08938603508,   -3.93793507938,   -2.70739810248,   -4.34479292116,   -7.18637400837,   -4.27079623153,
   -3.42432463260,   -13.9285718417,   -2.11136224508,   -3.20809872200,   -6.03443377457,   -3.80182453265,
},
{
    3.01521299803,    3.27367538387,    1.32988350128,    1.53038477142,    98.2195915061,    1.77456287105,
    3.06745698764,    2.06125308493,    11.9416522898,    1.77152941632,    4.63861937546,    2.64266037378,
   -10.8751916175,    3.90350490143,    1.39081975589,    1.17416486145,   -12.6814395874,   -12.6457044171,
    3.47037493945,    1.65442854956,    1.96270324942,   0.124039501753,    2.10113876234,    1.70988267819,
    3.95791893946,   -7.23976744124,    4.27652301649,    3.23350409469,    2.76659868630,    4.82579845901,
  -0.831516026082,    1.05528116547,  -0.288433360886,  -0.257197740859,   -1.01550367500,   0.191498213269,
   0.892384226942, -0.0206401687921,   0.559476174582,    2.87309717622,  -0.503684885921,    1.30130103982,
   -1.87300467473,    6.70357901341,    6.85809515971,    7.51502639263,   -1.29869010121,   0.339061376455,
    5.82889224441,    4.48072367247,    2.93182498382,   0.266964585737,    4.66367182442,   0.719583277667,
   -1.77820375188,   0.934294689249,  -0.818593816318,   0.613440673968,  -0.811815197803,   0.429846443576,
    3.18700577505,    2.62950027646,   -1.20360863110,   0.618454666887,    5.30877759488,    2.52869602862,
    3.75027773845,    1.63938994047,   0.516993015810,    2.87816600487,    3.91173751298,    1.30519160208,
   -1.19832194615,   -2.27239000576,   -2.65884432854,   -4.45236155393,   -1.40296912034,   -3.05199614679,
   -4.42205372104,   -3.29214336856,   -2.20848872348,    5.99953633686,    2.94669958734,    6.12522600352,
  -0.607028592293,   -2.53679733505,   -2.34887107486,  -0.299951186682,  -0.561114436965,   -1.46189605730,
   -3.58084102688,   -3.78092960240,   -4.70370169779,    6.35850336621,   -5.29277408478,   -2.93284896764,
   -3.44918321285,   -2.36940709009,   -4.22796727586,   -4.77986206737,   -36.2386704698,   -5.34623743353,
   -5.15925382175,   -2.55234384466,   -4.73280164616,   -1.48524032158,   -3.54614834121,   -1.74755203283,
   -18.3575303507,   -6.22632330604,   -3.66840017366,   -2.77501741267,   -17.3542721770,   -16.7634577374,
   -2.43434134683,  -0.537906001096,   -1.61502794398,   -11.9243045226,   -4.17525572483,   -2.00425841399,
},
{
    2.28539648409,    3.51750054562,    1.89214896281,    2.61336859710,    1.77456287105,    98.0986307305,
    4.13254115806,    3.36886108025,    2.96750226889,    13.3534507787,    6.04967090955,    3.97585019365,
    3.81386715783,   -10.6187303080,   -11.2385279478,   -11.6729786631,   0.827377726153,    1.73634316499,
    1.93512326132,    1.12297208977,    1.10735995817,    3.03302590491,    2.32430877087,    3.04187382428,
   -7.09732086170,    3.85417816513,    4.35351409207,    3.04775298559,    2.76355973272,    4.96993552301,
   -1.72833866992,  -0.159705863318,   -1.49399239261,  -0.852923983700,   0.359573676015,   0.115820235337,
    3.34668012401,    2.28514157604,    2.52120643985,    1.19191624916,    2.24103669192,   0.247177449112,
    7.92839152050,  -0.330263365747,   -1.77477694233,   -1.78976586390,    8.01997590090,    6.12522600352,
    2.35700464670,    4.62879146440,    7.19934538749,    4.27517288855,   -1.03526516990,    3.72198225871,
    2.28500868480,    4.96574729528,    3.72152299620,    2.16874029149,    2.76544260503,    1.88972013476,
    3.33342800563,    4.70409238607,    2.82072520664,   0.702694944772,   0.888583249480,   -1.63606896922,
  -0.822099283250,    1.55050062551, -0.0823657666344,   -2.56428697012,  -0.402406864486,   -2.90479889313,
   -1.32677197557,   -2.03263840131,   -2.88072342083,   -1.56432015213,   -2.96608171915,   -1.65265185841,
    6.43466143584,    5.75150332245,    3.37785124710,   -4.31705493911,   -1.29869010121,   -4.73421493710,
   -2.68666481829,   -1.11357560461,   -1.07761585802,   -3.31540906326,   -2.78206804744,   -3.57155025876,
   -3.30981984540,   -3.78301578534,    6.34108150200,   -4.77212084362,   -5.33485524048,   -3.14490568256,
   -4.37094940786,   -2.85350911338,   -4.56409239301,   -4.19712666694,   -5.22527665799,   -36.2386704698,
   -2.67053226402,  -0.973849166874,   -2.99859433160,   -6.13796778300,   -3.24361929777,   -4.74087329353,
   -6.24502277907,   -18.0301307705,   -16.9543023518,   -18.1647344400,   -4.33829916575,   -3.99370888359,
   -3.52702931314,   -1.97808516555,   -13.1943048089,   -2.90566379430,   -5.49689862569,   -3.31381710689,
},
{
    2.27752614391,    10.8670443194,    1.83617274451,   -12.9037604338,    3.06745698764,    4.13254115806,
    94.1372306530,    3.82132646761,    4.40043954301,    4.11196661189,   -13.6004620130,   -1.09564831427,
    2.12704020822,    3.61354047806,    5.27981451917,    5.43369561992,    5.10925342427,    3.78761175390,
    2.40375639965,    11.0796491579,    13.2137268024,    12.8234289622,    1.64544241710,    3.60711007986,
    5.93887287961,    6.13080095654,    5.64432273403,   -8.33851406616,    23.4873253383,    11.0883737153,
   -14.7625052036,   0.119462679144,   -1.32629124690,   -1.74931022596,   -16.3606587886,   -20.7829473955,
    2.95258478977,    9.54021935880,    4.72477703040,   0.659261570580,    13.6325647973,    10.1470993263,
    4.08962687016,    4.57598222658,   -2.50206994411,   -2.04081972113,    3.34668012401,   -1.46189605730,
    7.30349562037,    6.04429774214,    7.27804666997,    5.84810605862,    2.54581189924,    4.18885217231,
    4.93464750296,    6.24180265424,   0.314755923607,   -3.45130216438,  -0.217621232298,  -0.607862524868,
   -2.66294670741,  -0.986603121024,   -2.81004665660,   -3.35210644563,   -3.45626513000,   -5.37432696832,
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